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'''How fit-Headless solves the problem?'''

: fit-Headless is a small, low-cost HDMI plug that emulates a high resolution display. Once plugged, the Mac Mini / PC detects a connected display and enables the GPU. With the GPU enabled, screen-sharing / remote desktop access can work in high resolution.

=== What resolutions fit-Headless and fit-Headless 4K support? ===

Google+ page that shows the resolutions related to OSX operation:<br>

https://plus.google.com/+Fitpc-by-compulab/posts/cw5KR7CbTYU

=== Can I increase refresh rate? ===

Maybe, but it has no meaning. fit-Headless is connected to the host that streams the desktop through the network to the client PC.